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2. A 67 kilogram woman is jumping down the street at a modest 8.2 m/s when...

2. A 67 kilogram woman is jumping down the street at a modest 8.2 m/s when she sees a 2 kilogram skateboard rolling in the same direction as she is running, just ahead of her. She could see that the skateboard was rolling with a constant velocity of 0.4 m/s and decided to jump horizontally onto the top of it. When she jumps onto the skateboard, she sticks without slipping, and the collision takes 0.15 s. After the collision, the woman skateboard system continue in the same direction that they were originally moving.

(a) Determine the coefficient of static friction between the woman and the skateboard, during the collision (approximate the contact between the woman and the skateboard to be a single point. IGNORE AIR RESISTANCE AND INERTIAL EFFECTS of the rotating wheels.)

(b) Determine the average impulse on the skateboard, during the collision.

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